What is the Least Common Multiple of 52140 and 52146?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 52140 and 52146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52140 and 52146, than apply into the LCM equation.

GCF(52140,52146) = 6
LCM(52140,52146) = ( 52140 × 52146) / 6
LCM(52140,52146) = 2718892440 / 6
LCM(52140,52146) = 453148740

Least Common Multiple (LCM) of 52140 and 52146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52140 and 52146. First we will calculate the prime factors of 52140 and 52146.

Prime Factorization of 52140

Prime Factorization of 52146

Now multiplying the highest exponent prime factors to calculate the LCM of 52140 and 52146.

LCM(52140,52146) = 2² × 3² × 5¹ × 11¹ × 79¹ × 2897¹
LCM(52140,52146) = 453148740